25 -- You are testing to see whether jugglers are different in intelligence from acrobats. You do not population standard deviation. You measure 16 jugglers and get a mean IQ of 107, a sample standa of's 8, SS-960. You measure 16 acrobats and get M-114,s-10, SS-1500. (eight points) a) state your null and alternative hypotheses (in symbolic form) b) find the estimated standard error of the difference c) find the t-statistic d) find the number of degrees of freedom e) using an alpha level of 0.05, two-tailed, find the critical value for the t-statistic f) state the t-value and p-value using APA style g) find the effect size (Cohen's d) and determine whether it is closest to being a small, med h) state your conclusion in plain English M=IM = 10-1500